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Online ISSN 1552-4485; Print ISSN 0033-569X
Additional pseudo-similarity solutions of the heat equation in the presence of moving boundaries
Author:
R. J. Tait
Journal:
Quart. Appl. Math. 37 (1979), 313-324
MSC:
Primary 35K05; Secondary 35R35
DOI:
https://doi.org/10.1090/qam/548990
MathSciNet review:
548990
Full-text PDF Free Access
References | Similar Articles | Additional Information
- David Langford, Pseudo-similarity solutions of the one-dimensional diffusion equation with applications to the phase change problem, Quart. Appl. Math. 25 (1967), 45–52. MR 209686, DOI https://doi.org/10.1090/S0033-569X-1967-0209686-2
- George W. Bluman, Applications of the general similarity solution of the heat equation to boundary-value problems, Quart. Appl. Math. 31 (1973/74), 403–415. MR 427829, DOI https://doi.org/10.1090/S0033-569X-1974-0427829-7
- R. E. Gibson, A heat conduction problem involving a specified moving boundary, Quart. Appl. Math. 16 (1958), 426–430. MR 103713, DOI https://doi.org/10.1090/S0033-569X-1959-0103713-5
- E. C. Titchmarsh, Eigenfunction expansions associated with second-order differential equations. Part I, 2nd ed., Clarendon Press, Oxford, 1962. MR 0176151
- L. J. Slater, Confluent hypergeometric functions, Cambridge University Press, New York, 1960. MR 0107026
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Article copyright:
© Copyright 1979
American Mathematical Society